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    por un tubo de 4 cm de diámetro fluye agua con una velocidad de 16 m/s. ¿cuál es la velocidad del agua si el diámetro del tubo se reduce a 1,6 cm?

    Santiago

    Chicos, ¿alguien sabe la respuesta?

    obtenga por un tubo de 4 cm de diámetro fluye agua con una velocidad de 16 m/s. ¿cuál es la velocidad del agua si el diámetro del tubo se reduce a 1,6 cm? de este sitio.

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    Por un tubo de 4 cm de diámetro fluye agua con una velocidad de 16 m/s. ¿Cuál es la velocidad del agua si el d… Recibe ahora mismo las respuestas que necesitas!

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    View PDF Dcm 'cm 12 :ig. 3 Sustitu!endo &[email protected] &1 F -m ' R  $&111 gm 3 % M$'ms% ' P $&@ms% ' N 0 p ' de donde p 2 = 1.'15 &1 F -m ' 0 '1)a.

    &3.B8uál debe ser la presión manom"trica en una manguera larga de bombero si se quiere que el

    agua lan#ada por la boquilla alcance una altura de 31mC

    )ara que un pro!ectil alcance una altura =, debe ser lan#ado con una velocidad inicial 'g=.

    $sto se obtiene por la conversión de  m o

    '

    a mg=%. )odemos determinar la rapide# en

    t"rminos de la diferencia de presiones entre la presión interna ! la e5terna de la manguera

    $presión manom"trica% escribiendo la ecuación de >ernoulli para los puntos justamente

    adentro $&% ! e5terno $'% de la manguera/

    % entrada R  pv ' entrada R h entrada pg = p salida R  pv 2 s"'i" + h salida pg  *" e h salida 0 h entrada !

    v entrada 0 o, tenemos

    % entrada P p salida 0  pv ' salida Sustitu!endo v salida por 'g= , obtenemos % entrada P p

    salida 0 p=g 0 $&111 gm

    )odr4a obtenerse esta ultima ecuación directamente del teorema de

    3 % [email protected] ms ' %$31m% 0 'H )a B

    &. B

    8on que rapide# flu!e el agua desde una llave de [email protected] cm de d.i. si la presión del agua es de

    '11 )aC

    2tili#ando la ecuación de >ermoulli para los puntos justamente dentro $&% ! fuera $'% de la llave/

    h

    % entrada R  ρ v ' entrada R h entrada ρ g 0 p salida R  ρ v ' salida R h salida ρ g salida 0 h entrada ! % entrada * p salida 0 '11 )a , tenemos υ ' sal P υ ' ent 0 $'115 &1 3 )a% ' ρ 8onsiderando v ' entrada TT v '

    salida, resolvemos para obtener v salida 0 '1 ms

    & . As4 pues la

    rapide# del flujo es/

    Q 0 υ A 0 $'1ms% $ π r ' % 0 $'1ms% $ π r ' % $1.&D5 &1 * m ' % 0 & 5 &1 *3 m 3 s

    &F.l tubo mostrado en la :ig.  tiene un diámetro de &D cm. en la sección & ! &1 cm. en la sección

    '. n la sección & la presión es de '11 )a. l punto ' esta D cm. más alto que el punto &. Si un

    aceite de densidad @11gm

    3

    flu!e con una rapide# de 1.13 m

    3

    s, encu"ntrese la presión en el punto '

    si los efectos de la viscosidad son despreciables.

    9e Q 0 v & A & 0 v ' A ' tenemos υ & 0 Q 0 1.13m 3 s 0 &.Hms A & π( @ 5 &1 *' m ) 2

    fuente : www.academia.edu

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    COLEGIO DE BACHILLERES PLANTEL Nº 6 1er. BANCO DE PROBLEMAS DE FÍSICA II (HIDRODINAMICA) GASTO Y FLUJO HIDRÁULICO, EC. DE CONTINUIDAD, EC. BERNOULLI, EC. TORRICELLI, TUBO VENTURI Nombre: ______________________________________________GRUPO: ____ N/L: ____Fecha de entrega: _____________ PARA GRUPOS DE CUARTO SEMESTRE TURNO MATUTINO INSTRUCCIONES: Resolver los siguientes ejercicios desarrollando TODO su procedimiento en tú cuaderno y colocando **************** su resultado con tinta negra ó azul y encerrado con marca texto. Hacerlos legibles y con limpieza. GASTO HIDRÁULICO: 1.- Por un a manguera de 1 in de diámetro fluye gasolina a una velocidad media de 5 ft/seg. ¿Cuál es gasto en galones por minuto (1 ft3 = 7.48 gal)? ¿Qué tiempo se requiere para llenar un tanque de 20 gal? Sol.- G = 12.2 gal/min., t = 1.63 min. 2.- ¿Qué diámetro debe tener una manguera para que entregue para que entregue 8 lts de aceite en 1 min. con una velocidad de salida de 3 m/seg? Sol.- 7.52 mm 3.- El agua fluye de un tubo que tiene 2 in de diametro, sale horizontalmente a razon de 8 gal/min. ¿Cuál es la velocidad de salida? ¿Cuál es su alcance horizontal del chorro del agua si el tubo está a 4 ft del suelo? Sol.- v = 0.817 ft/seg dx = 4.90 in 4.- Por una tubería uniforme de 8 cm. de diámetro fluye aceite con una velocidad de 3 m/seg, calcular el gasto hidráulico expresándolo en: a) cm3/seg b) m3/hr. Sol.- a) 150.7 cm3/seg b) 5.42 x 105 m3/hr. 5.- Hallar la velocidad del agua en una tubería de 5 cm. de diámetro que suministra un caudal de 18 m 3/hr. Sol.- 2.55 m/seg 6.- Por una tubería de 10 cm. de diámetro circula agua con una velocidad media de 3 m/seg, hallar el gasto hidráulico y expresarlo en: a) m3/seg, b) m3/hr y c) lt/min. Sol.- a) 23.55 x 10-3 m3/seg, b) 84.78 m3/hr c) 1431 lt/min. 7.- Experimentalmente se encuentra que por un tubo cuyo diámetro interno es de 7 mm salen 259 ml en un tiempo de 41 seg ¿Cuál es la velocidad promedio del fluido en el tubo? Sol.- 0.158 m/seg. 8.- A través de un tubo de 4 cm. de diámetro interno fluye aceite con una velocidad promedio de 2.5 m/seg encuéntrese: el gasto hidráulico en: a) m3/seg, b) cm3/seg. Sol.- a) 3.14 x 10 m3/seg, b) 3140 cm3/seg. 9.- En un tubo de 1.25 cm. de diámetro fluye agua con una rapidez de 12 cm/seg. Determinar: El flujo hidraulico y b) el Gasto hidráulico Sol.- a) 1.473 x 10-5 m3/seg, b) 0.01473 kg/seg. 10.- Al aplicar un medicamento por via intravenosa, utuilizando una jeringa de 20 ml, se recomienda pasar el medicamento lentamente . si se emplea un tiempo de 1 min 45 seg, y el diámetro de la jeringa es de 0.65 mm, determina la velocidad del líquido al pasar de la aguja a la vena. Sol.- v = 57.4 cm/seg 11.- De una terminal de 3 cm de diámetro fluye agua con una velocidad media de 2 m/seg, ¿Cual es el gasto en lts/min ( 1 lt = 0.001 m3)? ¿Cuanto tiempo se requiere para llenar un recipiente de 40 lts? Sol.- 1.41 x 10-3 lts/min t = 28.3 seg. 12.- Calculese la velocidad promedio del agua que circula por un tubo cuyo d.i. es de 5 cm y su gasto es de 2.5 m 3/hr. Sol.- 0.354 m/seg. 13.- La sangre al salir del corazón por la la aorta, de 3 cm de diámetro, tiene una velocidad de 40 cm/seg, calcular: El Gasto hidráulico y el flujo de sangre. ECUACIÓN DE CONTINUIDAD: 1.- El agua fluye a 6 m/seg por un tubo de 6 cm pasa a otro tubo de 3 cm conectado al primero. ¿Cuál es su velocidad en el tubo pequeño? ¿Es mayor el gasto en el tubo mas pequeño? Sol.- v 2 =24 m/seg, Es la misma en cada tubo. 2.- Sabiendo que la velocidad del agua en una tuberia de 6 cm de diámetro es de 2 m/seg, hallar la velocidad que adquiere al circular por una seccion de la tubería de la mitad del diámetro. Sol.- 8 m/seg. 3.- La velocidad de la glicerina en una tuberia de 15 cm de diámetro es de 5 m/seg. Hallar la velocidad que adquiere en un estrechamiento de 10 cm de diámetro. Sol.- 11.25 m/seg. 4.- Un acueducto de 14 cm de diámetro interno surte agua a traves de una cañereia al tubo de la llave de 1 cm de diámetro interno.Si su velocidad promedio en el tubo de la llave es de 3 cm/seg, ¿Cual será la velocidad promedio en el acueducto Sol.- 0.0153 cm/seg. 5.- Por un tubo de 4 cm de diámetro fluye agua a 16 cm/seg de velocidad. ¿Cuál será su velocidad si el diámetro del tubo se reduce a 1.6 cm? Sol.- 1 m/seg. 6.- Por un tubo de 2.5 cm de diámetro fluye agua con una rapidez de 20 cm/seg. Si se reduce el diámetro a 1.2 cm ¿Con que rapidez saldrá el agua?

    TEOREMA DE BERNOULLI: 1.- Un tubo horizontal tiene las siguientes dimenciones en el punto 1 el diametro es de 6 cm, mientras que en el punto 2, es solode 2 cm. En el punto 1 v1 = 2 m/seg y P1 = 180 KPa. Calcular: a) v2 y P2 Sol.- v2= 18 m/seg, P2 = 20 KPa. 2.- Un tubo en posicion vertical presenta un diámetro de 16 cm en su sección 1 y 10 cm de diámetro en la sección 2, En la 1era la presion es de 200 KPa. El punto 2 está 6 cm más alto que el punto 1. si un aceite de densidad 800 kg/m 3 fluye con una rapidez de 0.03 m/seg . Encuentrese la presion en el punto 2 si los efectos de la viscosidad son despreciables. Sol.- P2 = 148 KPa. 3.- A traves de un tubo horizontal de seccion transversal variable se establece un flujo de agua estacionario. En un lugar la presion es de 130 KPa y la velocidad es de 0.60 m/seg. Determinese la presión en otro punto del mismo tubo donde la velocidad es de 9 m/seg. Sol.- 90 KPa. 4.- Una tubería horizontal de 15 cm de diámetro en la 1era sección y de 5 cm de diámetro en la 2da sección . La velocidad del fluido en la 1era. sección es de 50 cm/seg y la presión de 1.2 Kp/cm2 Hallar la v2 y la P2. Sol.- v2 = 4.45 m/seg, P2 = 1302 kp/cm2. 5.- Una tuberia vertical tiene un diámetro de ½ m en la 1era sección y de 25 cm en la seccion 2. La presión en 1 vale 1.7 kp/cm 2 y la diferencia de alturas entre ambas secciones es de 10 m. Suponiendo que circula un fluido cuyo peso especifico es de 800 Kp/cm3 a razón de 0.1 m3/seg. Calcular la P2 sin tom,ar en cuenta la viscosidad. Sol.- 86.32 KPa. 6.- ¿Cual es la velocidad de salida del agua a traves de una grieta del recipiente localizada 6 m por debajo de la superficie del agua ? Si el area de la grieta es de 1.3 cm2. ¿Con qué gasto sale el agua del recipiente? Sol.- v2 = 10.8 m/seg y G = 1.41 x 10-3 m3/seg ó 1.41 lts/seg. 7.- A traves de un tubo horizontal fluye agua a razon de 82 ft 3/min. Un manómetro de presión colocado en una sección transversal de 6 in de este tubo, presenta la lectura de 16 lb/in 2 . ¿Cuál es la presión manométrica en una seccion del tubo donde el diámetro es de 3 in? Sol.- P2= 80 KPa 8.- El agua fluye continuamente por un tubo horizontal. En un punto donde la presión absoluta es de 300 KPa, la velocidad es de 2 m/seg. Más adelante el tubo se estrecha bruscamente , haciendo que la presión absoluta desciende 100 Kpa. ¿Cuál será la velocidad del agua en esa zona angosta? Sol.- v2 = 20.1 m/seg. 9.- El agua fluye por una tubería con un gasto de 30 lts/seg. La presión absoluta en el punto inferior es de 200 KPa y el punto B se encuentra a 8 m por encima del punto A. La sección inferior en la tubería tiene un diámetro de 16 cm. y en la otra Sección se estrecha hasta un diámetro de de 10 cm. a) Determine las velocidades de la corriente en los puntos A y B. b) Cual es su presión absoluta en el punto B. Sol.- a) 1.49 m/seg y 3.82 m/seg b) 115 KPa 10.- El agua del mar tiene un Pe de 64 lb/ft 3. Dicha agua se bombea a través de un sistema de tubos a razón de 4 ft3/min. Los diámetros de los tubos extremos superior e inferior son de 4 in y 2 in respectivamente. El agua se descarga en la atmesfera en el extremo superior a una distancia de 6 in por arriba de la sección inferior. ¿Cuáles son las velocidades de flujo en los tubos superior e inferior? ¿Cuáles son las presiones en las secciones superior e inferior? Sol.- vs = 3.06 in/seg vi = 0.764 in/seg PB = 1 atm PA = 17.4 lb/in2 11. - La tubería que distribuye el agua a una casa tiene 19 mm de diámetro y 4 x 10 5 Pa de presión; la que desemboca en el cuarto de baño del segundo piso que esta situada a 4 m de altura y su diámetro es de 13 mm. Si la velocidad del agua en la tubería de mayor diámetro es de 4 m/seg, ¿Cuál es su velocidad en el tubo del baño? ¿Cuál es su presión? Sol.- v = 8.54 m/seg P = 332 KPa. TEOREMA DE TORRICELLI: 1.- En la parte inferior de un tanque de 5 m de altura se coloca un tubo de 39 mm de diámetro. ¿Con qué velocidad fluirá el agua por él si el tanque está lleno? Sí el tubo de 39 mm se conecta a otro de 13 mm, ¿Cuál será la velocidad del agua al pasar por este segundo tubo? Sol.- v = 9.89 m/seg v2 = 89.09 m/seg

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